# Differentiation

A derivative encodes how rapidly one quantity is changing in response to changes in some other quantity. The physical interpretation of the derivative is as the instantaneous rate of change, and the geometrical interpretation is as the slope of a tangent line.

## Topics

**Weekly schedule:**

- Semesteruke 1

- Semesteruke 2

**Lectures:** Lectures 7, 8, 9, 10

**Textbook:** Sections 2.1-2.11.

**Examples:** Differentiation examples

**Videos:** Differentiation Videos

**Maple:**

- :
Definition of derivative

- :
Basic differentiation

- :
Implicit differentiation

- :
Further applications and examples

**Exercises:** Differentiation exercises

**Project problems:** Differentiation project problems

**Maple TA test: Maple TA**